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2224020132 = 22335327331
BaseRepresentation
bin1000010010001111…
…1101101010100100
312201222212221002000
42010203331222210
514023322121012
61004404245300
7106053600465
oct20443755244
95658787060
102224020132
11a41446274
125209a0830
132959c1859
14171530d6c
15d03b3ddc
hex848fdaa4

2224020132 has 72 divisors (see below), whose sum is σ = 5877624480. Its totient is φ = 727253280.

The previous prime is 2224020131. The next prime is 2224020137. The reversal of 2224020132 is 2310204222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2224020131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299707 + ... + 307037.

Almost surely, 22224020132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224020132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938812240).

2224020132 is an abundant number, since it is smaller than the sum of its proper divisors (3653604348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2224020132 is a wasteful number, since it uses less digits than its factorization.

2224020132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7450 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2224020132 is about 47159.5179364675. The cubic root of 2224020132 is about 1305.3077144623.

Adding to 2224020132 its reverse (2310204222), we get a palindrome (4534224354).

The spelling of 2224020132 in words is "two billion, two hundred twenty-four million, twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2809 2862 5618 5724 7331 8427 11236 14662 16854 21993 25281 29324 33708 43986 50562 65979 75843 87972 101124 131958 151686 197937 263916 303372 388543 395874 777086 791748 1165629 1554172 2331258 3496887 4662516 6993774 10490661 13987548 20592779 20981322 41185558 41962644 61778337 82371116 123556674 185335011 247113348 370670022 556005033 741340044 1112010066 2224020132